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Under some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly times as great as that of ordinary solid matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star's initial radius was 8.0×105 (comparable to our sun); its final radius is 16 .

a) If the original star rotated once in 32 days, find the angular speed of the neutron star.

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